Submission #1116767

# Submission time Handle Problem Language Result Execution time Memory
1116767 2024-11-22T10:56:13 Z OI_Account Land of the Rainbow Gold (APIO17_rainbow) C++17
23 / 100
3000 ms 32188 KB
#include "rainbow.h"
#include <bits/stdc++.h>
using namespace std;

const int N = 200'000;
const int D = 4;
const int DX[D] = {0, 0, -1, 1};
const int DY[D] = {-1, 1, 0, 0};
const int S3 = 10'000'000;

int n, m, a, b, x1, yyy, x2, y2;
vector<pair<int, int>> path, vec3, gv3;
vector<char> vecDir = {'W', 'E', 'N', 'S'};
int markSub1[60][60], cnt[3][N + 10], cmpSub2;
int markSub2[3][N + 10], valSub2[N + 10], mark3[S3 + 10];


void uniquePath() {
    sort(path.begin(), path.end());
    path.resize(unique(path.begin(), path.end()) - path.begin());
}

bool isSub1() {
    return max(n, m) <= 50;
}

bool inPath(int x, int y) {
    int idx = lower_bound(path.begin(), path.end(), make_pair(x, y)) - path.begin();
    return idx < path.size() && path[idx] == make_pair(x, y);
}

bool inSub(int a, int b) {
    bool checkA = (x1 <= a && a <= x2);
    bool checkB = (yyy <= b && b <= y2);
    return checkA && checkB;
}

void initSub1() {
    uniquePath();
}

bool isSub2() {
    return n <= 2 && m <= N;
}

bool inGrid(int x, int y) {
    return min(x, y) >= 1 && x <= n && y <= m;
}

void dfs2(int i, int j) {
    markSub2[i][j] = cmpSub2;
    for (int d = 0; d < D; d++) {
        int nx = i + DX[d];
        int ny = j + DY[d];
        if (inGrid(nx, ny) && !inPath(nx, ny) && !markSub2[nx][ny])
            dfs2(nx, ny);
    }
}

void initSub2() {
    uniquePath();
    for (int i = 1; i <= n; i++)
        for (int j = 1; j <= m; j++) {
            cnt[i][j] = cnt[i][j - 1];
            if ((j == 1 || inPath(i, j - 1)) && !inPath(i, j))
                cnt[i][j]++;
        }
    for (int j = 1; j <= m; j++) {
        for (int i = 1; i <= n; i++)
            if (!inPath(i, j) && !markSub2[i][j]) {
                cmpSub2++;
                dfs2(i, j);
            }
        valSub2[j] = cmpSub2;
    }
}

void initSub3() {
    uniquePath();
    for (auto [x, y]: path) {
        for (int i = -2; i <= 2; i++)
            for (int j = -2; j <= 2; j++) {
                int nx = x + i, ny = y + j;
                if (inGrid(nx, ny) && !inPath(nx, ny))
                    vec3.push_back({nx, ny});
            }
    }
    sort(vec3.begin(), vec3.end());
    vec3.resize(unique(vec3.begin(), vec3.end()) - vec3.begin());
}

void init(int R, int C, int sr, int sc, int M, char *S) {
    n = R;
    m = C;
    a = sr;
    b = sc;
    path.push_back({a, b});
    for (int i = 0; i < M; i++) {
        int idx;
        for (int j = 0; j < D; j++)
            if (S[i] == vecDir[j])
                idx = j;
        int nx = path.back().first + DX[idx];
        int ny = path.back().second + DY[idx];
        path.push_back({nx, ny});
    }
    if (isSub1())
        initSub1();
    else if (isSub2())
        initSub2();
    else
        initSub3();
}

void dfs(int i, int j) {
    markSub1[i][j] = true;
    for (int d = 0; d < D; d++) {
        int nx = i + DX[d];
        int ny = j + DY[d];
        if (inSub(nx, ny) && !inPath(nx, ny) && !markSub1[nx][ny])
            dfs(nx, ny);
    }
}

int solveSub1() {
    for (int i = x1; i <= x2; i++)  
        for (int j = yyy; j <= y2; j++)
            markSub1[i][j] = 0;
    int ans = 0;
    for (int i = x1; i <= x2; i++)
        for (int j = yyy; j <= y2; j++)
            if (!inPath(i, j) && !markSub1[i][j]) {
                ans++;
                dfs(i, j);
            }
    return ans;
}

int solveSub2() {
    if (x1 == x2)
        return cnt[x2][y2] - cnt[x2][yyy] + (!inPath(x2, yyy));
    bool add = false;
    for (int i = 1; i <= n; i++)
        if (!inPath(i, yyy))
            add = true;
    return valSub2[y2] - valSub2[yyy] + add;
}

void calcGV3() {
    gv3.clear();
    for (auto [x, y]: vec3)
        if (inSub(x, y))
            gv3.push_back({x, y});
}

int inGV3(int x, int y) {
    int idx = lower_bound(gv3.begin(), gv3.end(), make_pair(x, y)) - gv3.begin();
    return idx < gv3.size() && gv3[idx] == make_pair(x, y)? idx: -1;
}

void dfs3(int i, int j, int id) {
    mark3[id] = true;
    for (int d = 0; d < D; d++) {
        int nx = i + DX[d];
        int ny = j + DY[d];
        int nId = inGV3(nx, ny);
        if (nId != -1 && !mark3[nId])
            dfs3(nx, ny, nId);
    }
}

int solveSub3() {
    calcGV3();
    for (int i = x1; i <= x2; i++) {
        gv3.push_back({i, yyy});
        gv3.push_back({i, y2});
    }
    for (int i = yyy; i <= y2; i++) {
        gv3.push_back({x1, i});
        gv3.push_back({x2, i});
    }
    sort(gv3.begin(), gv3.end());
    gv3.resize(unique(gv3.begin(), gv3.end()) - gv3.begin());
    vector<pair<int, int>> vec;
    for (auto [x, y]: vec)
        if (!inPath(x, y))
            vec.push_back({x, y});
    gv3 = vec;
    int ans = 0;
    for (int i = 0; i < gv3.size(); i++)
        if (!mark3[i]) {
            ans++;
            dfs3(gv3[i].first, gv3[i].second, i);
        }
    fill(mark3, mark3 + gv3.size(), 0);
    return ans;
}

int colour(int ar, int ac, int br, int bc) {
    x1 = ar;
    yyy = ac;
    x2 = br;
    y2 = bc;
    if (isSub1())
        return solveSub1();
    if (isSub2())
        return solveSub2();
    return solveSub3();
}

Compilation message

rainbow.cpp: In function 'bool inPath(int, int)':
rainbow.cpp:29:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   29 |     return idx < path.size() && path[idx] == make_pair(x, y);
      |            ~~~~^~~~~~~~~~~~~
rainbow.cpp: In function 'int inGV3(int, int)':
rainbow.cpp:158:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  158 |     return idx < gv3.size() && gv3[idx] == make_pair(x, y)? idx: -1;
      |            ~~~~^~~~~~~~~~~~
rainbow.cpp: In function 'int solveSub3()':
rainbow.cpp:190:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  190 |     for (int i = 0; i < gv3.size(); i++)
      |                     ~~^~~~~~~~~~~~
rainbow.cpp: In function 'void init(int, int, int, int, int, char*)':
rainbow.cpp:104:45: warning: 'idx' may be used uninitialized in this function [-Wmaybe-uninitialized]
  104 |         int ny = path.back().second + DY[idx];
      |                                       ~~~~~~^
# Verdict Execution time Memory Grader output
1 Correct 6 ms 336 KB Output is correct
2 Correct 41 ms 504 KB Output is correct
3 Correct 60 ms 592 KB Output is correct
4 Correct 77 ms 592 KB Output is correct
5 Correct 40 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 47 ms 508 KB Output is correct
12 Correct 50 ms 336 KB Output is correct
13 Correct 75 ms 336 KB Output is correct
14 Correct 63 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 125 ms 29120 KB Output is correct
4 Correct 122 ms 24044 KB Output is correct
5 Correct 139 ms 25180 KB Output is correct
6 Correct 128 ms 31420 KB Output is correct
7 Correct 152 ms 32188 KB Output is correct
8 Correct 73 ms 23568 KB Output is correct
9 Correct 128 ms 23996 KB Output is correct
10 Correct 124 ms 25260 KB Output is correct
11 Correct 132 ms 31420 KB Output is correct
12 Correct 115 ms 23484 KB Output is correct
13 Correct 105 ms 23996 KB Output is correct
14 Correct 121 ms 25276 KB Output is correct
15 Correct 117 ms 31592 KB Output is correct
16 Correct 134 ms 27464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Incorrect 213 ms 25632 KB Output isn't correct
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 336 KB Output is correct
2 Correct 41 ms 504 KB Output is correct
3 Correct 60 ms 592 KB Output is correct
4 Correct 77 ms 592 KB Output is correct
5 Correct 40 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 47 ms 508 KB Output is correct
12 Correct 50 ms 336 KB Output is correct
13 Correct 75 ms 336 KB Output is correct
14 Correct 63 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Execution timed out 3066 ms 12820 KB Time limit exceeded
19 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 336 KB Output is correct
2 Correct 41 ms 504 KB Output is correct
3 Correct 60 ms 592 KB Output is correct
4 Correct 77 ms 592 KB Output is correct
5 Correct 40 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 47 ms 508 KB Output is correct
12 Correct 50 ms 336 KB Output is correct
13 Correct 75 ms 336 KB Output is correct
14 Correct 63 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Execution timed out 3066 ms 12820 KB Time limit exceeded
19 Halted 0 ms 0 KB -